Quiz 5 Name _________________________Stat 217FORMULAS: nXp ˆ nppzpˆ1ˆ*ˆ nppppzooo1ˆ *1**2ppmzn 22211121ˆ1ˆˆ1ˆ*ˆˆnppnppzpp 212111~1~ˆˆnnppppz2121~nnXXp1. An entomologist samples a field for egg masses of an invasive insect by placing a yard-square frame at random locations and carefully examining the ground within the frame. A simple random sample of 75 locations found egg masses of the insect in 13 locations. Give a 90% confidence interval for the proportion of all locations that are infested with the insect.2. You want to estimate the proportion of students at your college or university who are employed for 10 or more hours per week while classes are in session. You plan to present your results by a 95% confidence interval. Using the guessed value p* = 0.40, find the sample size required if the interval is to have a margin of error of m = 0.06. Show your work.3. A study of chromosome abnormalities and criminality examined data on 4124 Danish males born in Copenhagen Each male was classified as having the normal male XY chromosome or an abnormal chromosome. Of the 4096 men with normal chromosomes, 381 had criminal records, while 8 of the 28 men with chromosome abnormalities had criminal records. Some criminologists believe that chromosome abnormalities are associated with increased criminality. Test this hypothesis.(a) State the hypotheses(b) Calculate the test statistic. (c) Calculate the p-value. (d) Make a decision at the 0.10 significance level. (f) Make a conclusion in terms of the
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